Computer simulation methods of redundant measurements with the nonlinear transformation function

Shcherban, Volodymyr; Korogod, Ganna; Chaban, Vitaliy; Kolysko, Oksana; Shcherban, Yury; Shchutska, Ganna

doi:10.15587/1729-4061.2019.160830

Cited by 8 publications

(13 citation statements)

References 4 publications

(8 reference statements)

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“…However, a given installation cannot be used to determine the impact of the design parameters of guides of complex shape, and the range of change in the angles at which a thread wraps the guide is very limited. When determining the thread tension experimentally, there is a reason to argue about the promising development of redundant measurement methods in different types of transformation function (linear and non-linear) in the field of improving accuracy by processing results from intermediate measurements [14]. The independence of the results of experimental thread tension measurements on the parameters of the transformation function of tensometric devices is confirmed in works [15,16].…”

Section: Literature Review and Problem Statementmentioning

confidence: 97%

“…Determining the tension of a thread when interacting with the various guides in the loom feed systems was addressed in works [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. Paper [4] does not take into consideration the actual physical and mechanical properties of a thread, namely its bending rigidity, the non-linear dependence of friction forces on the magnitude of normal pressure, the actual angle at which a thread wraps the guide, and the angle of the radial wrap of the thread by the surface of the guide.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

“…By solving (7), (10), (14) together, we obtain a system of two transcendental equations regarding the tension of the leading branch of the monothread P 1 :…”

Section: Determining the Function That Relates Thread Tension Befomentioning

confidence: 99%

See 2 more Smart Citations

Computer implementation of a recursion algorithm for determining the tension of a thread on technological equipment based on the derived mathematical dependences

Shcherban

Makarenko

Petko

et al. 2020

EEJET

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Section: Literature Review and Problem Statementmentioning

confidence: 97%

Section: Literature Review and Problem Statementmentioning

confidence: 99%

See 1 more Smart Citation

Computer implementation of a recursion algorithm for determining the tension of a thread on technological equipment based on the derived mathematical dependences

Shcherban

Makarenko

Petko

et al. 2020

EEJET

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“…Improving the measurement accuracy with nonlinear and unstable transformation functions using redundancy was considered in [17][18][19]. However, approaches to processing the results of multiple measurements with the nonlinear (logarithmic) transformation function have not been studied.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

Computer simulation of multiple measurements of logarithmic transformation function by two approaches

Shcherban

Korogod

Kolysko

et al. 2020

EEJET

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“…Therefore, to comprehensively solve the problem of increasing the measurement accuracy with a nonlinear and unstable transformation function, it was proposed to use the method of redundant measurements [13][14][15][16]. A distinctive feature of the use of MRM is to obtain Copyright © 2020 MECS I.J.…”

Section: Literature Reviewmentioning

confidence: 99%

Computer Implementation of Algorithmic Components of Redundant Measurement Methods

Shcherban¹,

Design²,

Korogod³

et al. 2020

IJISA

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This article demonstrates the implementation of the proposed algorithm for computer modeling of redundant measurement methods to solve problems to improve the accuracy of measurements of a controlled quantity with a nonlinear and unstable transformation function. Improving accuracy is achieved by processing the results of redundant measurements which are an array of data according to the proposed measurement equations. In addition, the article presents the possibility of determining the time variation of the parameters of the transformation function. A comparative analysis of the results of computer simulation of redundant and direct methods with unstable parameters of the linear and nonlinear sensor transformation functions is carried out. It was proved that, in the case of an increase in deviations of the parameters of the transformation function from the nominal values, the use of redundant methods provides a significantly higher measurement accuracy compared to direct methods. This became possible due to the automatic elimination of the systematic component of the error of the measurement result due to a change in the parameters of the transformation function under the influence of destabilizing factors. It was also found that, in contrast to direct methods, methods of redundant measurements allow working with a nonlinear transformation function without additional linearization or dividing it into linear sections, which also contributes to increased accuracy.In general, the application of the proposed approach in the modeling system proves its effectiveness and feasibility.Thus, there is reason to argue about the prospects of redundant measurements in the field of improving accuracy with a nonlinear and unstable transformation function, as well as the possibility of identifying deviations of the parameters of the transformation function from their nominal values.

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Computer simulation methods of redundant measurements with the nonlinear transformation function

Cited by 8 publications

References 4 publications

Computer implementation of a recursion algorithm for determining the tension of a thread on technological equipment based on the derived mathematical dependences

Computer implementation of a recursion algorithm for determining the tension of a thread on technological equipment based on the derived mathematical dependences

Computer simulation of multiple measurements of logarithmic transformation function by two approaches

Computer Implementation of Algorithmic Components of Redundant Measurement Methods

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